Question

find the HCF of 425 and 800 and use it to find their LCM

Answer 1

$425 = 5 \times 85 \\ 425 = 5 \times 5 \times 17 \\ 800 = 2 \times 400 \\ \: \: \: \: \: \: \: \: = 2 \times 2 \times 200 \\ \: \: \: \: \: \: \: \: = 2 \times 2 \times 2 \times 100 \\ \: \: \: \: \: \: \: \: = 2 \times 2 \times 2 \times 2 \times 50 \\ \: \: \: \: \: \: \: \: = 2 \times 2 \times 2 \times 2 \times 2 \times 25 \\ \: \: \: \: \: \: \: \: = 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \\ the \: common \: factor \: of 425 \: and \: 800 \: are\: 5 \: and \: 5 \\ hence \: there \: hcf \: = \: 5 \times 5 = 25\: \\ there \: lcm = 17 \times 2 \times 2 \times 2 \times 2 \times2 = 544 \\plz \: mark \: as \: brainliest......$